PPT-Some Graph Problems

LiniAls Conjecture Backgound In a partially ordered set we have Dilworths Theorem The largest size of an independent set completely unordered set is the smallest number of blocks in a partition of the elements into completely ordered sets. Richard M. Karp. Bangalore, January 5, 2011. NP-Hard Problems. The P vs. NP problem: Is finding a solution to a combinatorial search problem as easy as checking a solution. The answer is expected to be “No.”. Anand Tripathi, Vinit Padhye, . Tara Sasank Sunkara. Department of Computer Science. University of Minnesota. . Presentation by . Tara Sasank Sunkara. eBay Inc.. Acknowledgements:. This work was partly supported by NSF award 1319333. Lindsay Mullen. (Abstract) Algebra and Number Theory. Combinatorics. (Discrete Mathematics). Graph Theory. Graph Coloring. What is Graph Theory?. Branch . of . mathematics . concerned with networks of points connected by . Simon Prince. s.prince@cs.ucl.ac.uk. Plan of Talk. Denoising. problem. Markov random fields (MRFs). Max-flow / min-cut. Binary MRFs (exact solution). Binary . Denoising. Before. After. Image represented as binary discrete variables. Some proportion of pixels randomly changed polarity.. P. artitioning. a. nd. . Clustering for. Community . Detection. . Presented By: Group One. 1. Outline. Introduction:  . Hong . Hande. Graph Partitioning: . Muthu. Kumar . C . and . Xie . Shudong. Wei Wang. Department of Computer Science. Scalable Analytics Institute. UCLA. weiwang@cs.ucla.edu. Graphs/Networks. FFSM (ICDM03), SPIN (KDD04),. GDIndex. (ICDE07). MotifMining. (PSB04, RECOMB04, ProteinScience06, SSDBM07, BIBM08). Outline. Graph and fuzzy graph. Characteristics of fuzzy relations. Types of fuzzy relations. Graph and fuzzy graph. Graph. Graph and fuzzy graph. Fuzzy graph. ~. V : . is fuzzy node. ~. Graph and fuzzy graph. Yunkai. Liu, Ph. D.,. Gannon University. Outlines. Graph Database vs. Traditional Database. Data structure . Some frequently-used measurements. Overview of Graph Databases. Graph Data on Social Networks. Hamid. . Alaei. (Vertex) Coloring of a graph . G = (V,E) . is a map function . c. . : V → C. C. : set of colors. for every edge . vw. ∈ E: c(v) ≠ c(w). .. chromatic number . χ(G). is the minimal number of colors needed in a coloring of . Bart M. P. Jansen. Joint work with Stefan . Kratsch. August 22. nd . 2011, Oslo. Vertex Coloring of Graphs. Given an undirected graph G and integer q, can we assign each vertex a color from {1, 2, …, q} such that adjacent vertices have different colors?. Using graph theory to solve games and problems. Dr. Carrie Wright. University of Arizona. Teacher’s Circle. November 17, 2011. BRIDGES OF KONIGSBERG. In Konigsberg, East Prussia, a river runs through the city such that in its center is an island, and after passing the island, the river broke into two parts. Seven bridges were built so that the people of the city could get from one part to another. . Chapter 5.6. Review: Zeros of Quadratic Functions. In the previous chapter, you learned several methods for solving quadratic equations. If, rather than a quadratic equation . , we think about the function . Adjacency List. Adjacency-Matrix. Pointers/memory for each node (actually a form of adjacency list). Adjacency List. List of pointers for each vertex. Undirected Adjacency List. Adjacency List. The sum of the lengths of the adjacency lists is 2|E| in an undirected graph, and |E| in a directed graph.. Data Structures and Algorithms. CSE 373 19 . Sp. - Kasey Champion. 1. Administrivia. HW 7 Due Friday. Final exam review Wednesday 6/5 4-5:50. Final exam next Tuesday!. Double check all grades . Please fill out survey.